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ANEK [815]
4 years ago
15

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age

in terms of m?
Mathematics
1 answer:
puteri [66]4 years ago
8 0

Answer:

5m-50

Step-by-step explanation:

Let Diego current age be x,

Given that Diego’s current age is five times Martina’s age ten years ago

Martina current age = m years

10 years ago Martina's age = m-10

Hence we have

x = 5(m-10) = 5m-50

So we find that Diego's current age can be expressed in terms of m as

Deigo's current age= 5m-50

Verify:

Deigo current age = 5m-50

Hence Martina age 10 years ago = 5m-50 divided by 5 = m-10

Martina current age = m-10+10 = m

Verified.

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Trig Help please! 50 points!
IgorLugansk [536]

Answer:

C

Step-by-step explanation:

Remember the mnemonic: SohCahToa, where:

\sin(\theta)=\text{opposite}/\text{hypotenuse}\\\cos(\theta)=\text{adjacent}/\text{hypotenuse}\\\tan(\theta)=\text{opposite}/\text{adjacent}

Let's determine our side lengths first.

Note that our angle is A. So, we have to determine the sides with respect to A.

The opposite side to A is 16.

The adjacent side is 12.

And the hypotenuse is 20.

With this, we can find our trig ratios:

Sine:

\sin(A)=\text{opp}/\text{hyp}

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

\sin(A)=16/20

Reduce:

\sin(A)=4/5

Cosine:

\cos(A)=\text{adj}/\text{hyp}

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

\cos(A)=12/20

Reduce:

\cos(A)=3/5

Tangent:

\tan(A)=\text{opp}/\text{adj}

Substitute 16 for the opposite and 12 for the adjacent. This yields:

\tan(A)=16/12

Reduce:

\tan(A)=4/3

So, our answers are:

\frac{4}{5}, \frac{3}{5}, \text{ and } \frac{4}{3}

Out of the answer choices, the choice that represents this is C.

So, our correct answer is C.

And we're done!

4 0
3 years ago
Read 2 more answers
I can’t figure out the red part please help much appreciated
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

(23,0)

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6 0
3 years ago
What is the value of x?
NISA [10]
Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27

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3 years ago
To practice for a competition, Jasmine swam 930 meters in the pool each day for 4 weeks. How many kilometers did Jasmine swim in
aivan3 [116]

Answer:

To practice for a competition, Jasmine swam in those 4 weeks a total of 26.04\ km

Step-by-step explanation:

Hi

First of all, we need to determine how many days did Jasmine went to the pool in total, so if we have 1\ week=7\ Days, and if She has been going for 4 weeks, therefore 4\ weeks=28\ days.

Then we use Jasmine's rate of practice 930m/day.

So 930\frac{m}{day} (28\ days)=26,040m or 26.04\ km is the total distance swam by Jasmine in the four weeks.

8 0
4 years ago
Write the equation for the graphed function. Absolute value graph shifted left 3 units.
Aleks04 [339]

Answer:

D

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.

f(x) = |x-3|

6 0
3 years ago
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